On the number of convex lattice polytopes

1992 ◽  
Vol 2 (4) ◽  
pp. 381-393 ◽  
Author(s):  
I. Bárány ◽  
A. M. Vershik
Keyword(s):  
Lattice Polytopes ◽  
Convex Lattice ◽  
Convex Lattice Polytopes

Polytopes and 𝐾-Theory

2004 ◽  
Vol 11 (4) ◽  
pp. 655-670
Author(s):  
W. Bruns ◽  
J. Gubeladze
Keyword(s):  
Lattice Polytopes ◽  
Unit Simplex

Abstract This is an overview of results from our experiment of merging two seemingly unrelated disciplines – higher algebraic 𝐾-theory of rings and the theory of lattice polytopes. The usual 𝐾-theory is the “theory of a unit simplex”. A conjecture is proposed on the structure of higher polyhedral 𝐾-groups for certain class of polytopes for which the coincidence of Quillen's and Volodin's theories is known.

scholarly journals Lattice polytopes, Hecke operators, and the Ehrhart polynomial

2007 ◽  
Vol 13 (2) ◽  
pp. 253-276 ◽  
Author(s):  
Paul E. Gunnells ◽  
Fernando Rodriguez Villegas
Keyword(s):  
Hecke Operators ◽  
Ehrhart Polynomial ◽  
Lattice Polytopes

scholarly journals Distance between vertices of lattice polytopes

2018 ◽  
Vol 14 (2) ◽  
pp. 309-326 ◽  
Author(s):  
Anna Deza ◽  
Antoine Deza ◽  
Zhongyan Guan ◽  
Lionel Pournin
Keyword(s):  
Lattice Polytopes
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